Observation and description of changes in the world around us are the first steps in finding and learning about patterns. INV 2 Essential Question: What are some situations that we can describe as variable?
2.3 Day 3: Lewes to Chincoteague Island
Problem 2.3
A. Would it make sense to connect the points on the graph? Explain
Yes, it would make sense to connect the points on the graph because the variables, Distance and Time are both continuous. The lines show that the information given goes on forever.
B:
Distance from Lewes
Time
Distance
(in hours)
(in miles)
0.0
0
0.5
8
1.0
13
1.5
22
2.0
22
2.5
30
3.0
22
3.5
31
4.0
37
4.5
49
5.0
49
5.5
57
6.0
63
6.5
72
7.0
74
7.5
81
C: What do You think happened between hours 2 and 4? Between hours 1.5 and 2? From hours 1.5 to 2 I think the probally stoped for lunch. They made no progress. Between hours 2 and 4 they probally forgot something back where they ate and had to bike back to the eating site.
D: Which method of displaying the (time, distance) data helps you see the changes better, a table or a graph? Explain your choice. I think that the method of displaying the data on a graph best represents the changes over time. It is easier to see in picture form, than numbers.
Problem 2.3 Follow-Up
Use the graph to determine the total distance the riders traveled on day 3. Explain how you determined your answer.
The riders took a total of 99 miles to get to Chincoteage Island. It took them 81 miles to get straight there, but between hours 1.5 and 2, the riders had to go back, and then get to where they left off. Which leaves them at 99 miles.
Z.D
Math 7B
Variables and Patterns
Observation and description of changes in the world around us are
the first steps in finding and learning about patterns.
INV 2 Essential Question:
What are some situations that we can describe as variable?
2.3 Day 3: Lewes to Chincoteague Island
Problem 2.3
A. Would it make sense to connect the points on the graph? Explain
Yes, it would make sense to connect the points on the graph because the variables, Distance and Time are both continuous. The lines show that the information given goes on forever.
B:
From hours 1.5 to 2 I think the probally stoped for lunch. They made no progress. Between hours 2 and 4 they probally forgot something back where they ate and had to bike back to the eating site.
D: Which method of displaying the (time, distance) data helps you see the changes better, a table or a graph? Explain your choice.
I think that the method of displaying the data on a graph best represents the changes over time. It is easier to see in picture form, than numbers.
Problem 2.3 Follow-Up
Use the graph to determine the total distance the riders traveled on day 3. Explain how you determined your answer.
The riders took a total of 99 miles to get to Chincoteage Island. It took them 81 miles to get straight there, but between hours 1.5 and 2, the riders had to go back, and then get to where they left off. Which leaves them at 99 miles.